Article
| Title: | Dual modules and reflexive modules with respect to a semidualizing module (English) |
| Author: | Mao, Lixin |
| Language: | English |
| Journal: | Czechoslovak Mathematical Journal |
| ISSN: | 0011-4642 (print) |
| ISSN: | 1572-9141 (online) |
| Volume: | 74 |
| Issue: | 4 |
| Year: | 2024 |
| Pages: | 983-1005 |
| Summary lang: | English |
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| Category: | math |
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| Summary: | Let $C$ be a semidualizing module over a commutative ring. We first investigate the properties of $C$-dual, $C$-torsionless and $C$-reflexive modules. Then we characterize some rings such as coherent rings, $\Pi $-coherent rings and FP-injectivity of $C$ using $C$-dual, $C$-torsionless and $C$-reflexive properties of some special modules. (English) |
| Keyword: | semidualizing module |
| Keyword: | $C$-dual module |
| Keyword: | $C$-torsionless module |
| Keyword: | $C$-reflexive module |
| MSC: | 16D40 |
| MSC: | 16D50 |
| MSC: | 18G25 |
| DOI: | 10.21136/CMJ.2024.0280-23 |
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| Date available: | 2024-12-15T06:34:08Z |
| Last updated: | 2024-12-16 |
| Stable URL: | http://hdl.handle.net/10338.dmlcz/152686 |
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